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enot [183]
3 years ago
11

Find all integer solutions to the equation 91x + 329y = 49.

Mathematics
1 answer:
Vadim26 [7]3 years ago
4 0

Answer:

dont waste points get wolfframAlpha

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A survey was taken of 49 people to see if they watch basketball and/or soccer games on television. The results are shown in the
emmasim [6.3K]

Answer:

\begin{array}{cccc}&\text{Watch basketball}&\text{Don't watch basketball}&\text{Total}\\\text{Watch soccer}&7&12&19\\\text{Don't watch soccer}&17&13&30\\\text{Total}&24&25&49\end{array}

Step-by-step explanation:

From the diagram you can see that

  • 17 people watch only basketball;
  • 7 people watch both basketball and soccer;
  • 12 people watch only soccer;
  • in total, 17+7+12=36 people watch some sports;
  • so, 49-36=13 people do not watch sports.

So, you can fill the table in following way

\begin{array}{cccc}&\text{Watch basketball}&\text{Don't watch basketball}&\text{Total}\\\text{Watch soccer}&7&12&19\\\text{Don't watch soccer}&17&13&30\\\text{Total}&24&25&49\end{array}

6 0
3 years ago
A system of equations is shown below: x + 3y = 5 (equation 1) 7x − 8y = 6 (equation 2) A student wants to prove that if equation
eduard

First Let we solve the Original system of equations:

equation (1): x+3y=5

equation (2): 7x-8y=6

Multiplying equation (1) by 7, we get

7x+21y=35                          -->(3)

7x-8y=6                           --> (2)

Subtracting,

29y=29 implies y=1

Thenx=5-3(1)=2

Thus the solution of the original equation isx=2, y=1.

Now Let we form the new equation:

Equation 2 is kept unchanged:

Equation (2):7x-8y=6

Equation 1 is replaced with the sum of equation 1 and a multiple of equation 2:

Equation (1): 8x-5y=11

Now solve this two equations: 8x-5y=11, \\                                                    7x-8y=6

Multiply (1) by 7 and (2) by 8,

56x-35y=77

56x-64y=48

Subtracting,29y=29 implies y=1

Then x=2.

so the solution for the new system of equation is x=2, y=1.

This Show that the solution to the system of equations 8x − 5y = 11 and 7x − 8y = 6 is the same as the solution to the given system of equations

4 0
3 years ago
Read 2 more answers
Hey stars of the day i need help
Solnce55 [7]

Answer:

x = 20

Step-by-step explanation:

Assuming that both 6x and 120 are equal to each other, you can use simple algebra to find out what x is

6x = 120 (divide both sides by 6 to isolate x)

x = 20

8 0
3 years ago
Plz i need help i don't understand it
andreev551 [17]

Answer:

y=5,2 and -3

we have to put the values of X and then solve the equation.

<h2>Have a good day</h2>
5 0
3 years ago
Read 2 more answers
Can someone help me ?
Lerok [7]
Answer:
50*

Cause if u know a right angle is 90* then u add it it gets 130 then you take that away from 180 what leaves you with 50
7 0
2 years ago
Read 2 more answers
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